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Finding the Third Proportional to 4,768,786,735,021 and 10,400,673,681,609

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Solution

The third proportional to 4,768,786,735,021 and 10,400,673,681,609 is: 22,683,759,841,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768,786,735,021 : 10,400,673,681,609 = 10,400,673,681,609 : x
  2. Step 2: Convert to fraction form
    4,768,786,735,021/10,400,673,681,609 = 10,400,673,681,609/x
  3. Step 3: Cross multiply
    4,768,786,735,021x = 10,400,673,681,609 × 10,400,673,681,609
  4. Step 4: Simplify right side
    4,768,786,735,021x = 108,174,013,031,314,105,170,919,424
  5. Step 5: Solve for x
    x = 108,174,013,031,314,105,170,919,424/4,768,786,735,021
  6. Step 6: Final answer
    x = 22,683,759,841,241.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.